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Finding the Fourth Proportional to 108,543.90, 162,815.85 and 97,830.30

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Solution

The fourth proportional to 108,543.90, 162,815.85 and 97,830.30 is: 146,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,543.90 : 162,815.85 = 97,830.30 : x
  2. Step 2: Convert to fraction form
    108,543.90/162,815.85 = 97,830.30/x
  3. Step 3: Cross multiply
    108,543.90x = 162,815.85 × 97,830.30
  4. Step 4: Simplify right side
    108,543.90x = 15,928,323,450.26
  5. Step 5: Solve for x
    x = 15,928,323,450.26/108,543.90
  6. Step 6: Final answer
    x = 146,745.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.